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Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts
2020
Mathematics
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In this paper, sufficient conditions for the existence and construction of nonnegative matrices with prescribed elementary divisors for a list of complex numbers with nonnegative real part are obtained, and the corresponding nonnegative matrices are constructed. In addition, results of how to perturb complex eigenvalues of a nonnegative matrix while keeping its elementary divisors and its nonnegativity are derived.
doi:10.3390/math8101662
fatcat:3jiw3bryzvd3ze7zdooivt4fcu